Displaying similar documents to “Convolution and S' - Convolution of Distributions”

Convolution of vector-valued distributions: A survey and comparison

Christian Bargetz, Norbert Ortner

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We overview the literature concerning bilinear operations on vector-valued distributions in general, and more specifically the convolution of vector-valued functions or distributions. We compare and evaluate the different approaches to this problem of L. Schwartz on the one hand and of Y. Hirata and R. Shirarishi on the other. Moreover we discuss applications of the general existence and uniqueness results to different branches of mathematical analysis like partial differential equations...

On analytical properties of generalized convolutions

Zeev (Vladimir) Volkovich, Dvora Toledano-Kitai, Renata Avros (2010)

Banach Center Publications

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The paper is, for the most part, devoted to a survey of the analytical properties of generalized convolution algebras and their realizations. This issue appears to be the state of the art until now because intensive research on the generalized convolution and the related models still persists.